Some results on geodesic mappings of Riemannian manifolds satisfying the conditionR.R.=Q(S,R) |
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| Authors: | F. Defever R. Deszcz |
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| Affiliation: | (1) Instituut voor Theoretische Fysica, Afdeling Algebra en Topologie, Celestijnenlaan 200 B/D, B-3001 Leuven, Belgium;(2) Department of Mathematics, Agricultural University of Wro!["lstrok"]("/content/v1hk200334600x7h/xlarge322.gif") aw, Ulica C. Norwida 25, 50-375 Wrocaw, Poland |
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| Abstract: | ![]()
In this paper geodesically corresponding metricsg and on a manifoldM, dim  5, under the assumption that the tensorsR andS of the metricg satisfyR.R=Q(S, R), are considered. It is stated that the corresponding tensors and of not necessarily must satisfy . Certain relations between the curvatures ofg and are obtained.Supported by a post-doctoral fellowship of the researchcouncil of the KU Leuven; Bitnet FGBDA3O at BLEKUL11 |
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| Keywords: | Primary 58B20 53C25 53C80 |
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